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A straight conductor of 0.2 mm lies on the x-axis with one end at origin. The conductor is subjected to a magnetic flux density of B = 0.04 ay Tesla and velocity v = 2.5 sin1000t az m/sec. Calculate the motional electric field intensity and induced emf in conductor .?
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A straight conductor of 0.2 mm lies on the x-axis with one end at orig...
Motional Electric Field Intensity
The motional electric field intensity is given by the equation E = -v x B, where v is the velocity of the conductor and B is the magnetic flux density.
Given that, v = 2.5 sin(1000t) az m/s and B = 0.04 ay Tesla.
Therefore, the motional electric field intensity is given by:
E = -v x B = -2.5 sin(1000t) az x 0.04 ay
E = -0.1 sin(1000t) ax V/m
Induced EMF in Conductor
The induced EMF in the conductor is given by the equation EMF = -d(phi)/dt, where phi is the magnetic flux passing through the conductor.
The magnetic flux passing through the conductor is given by:
phi = B.A = 0.04 ay. (0.2 mm x 1 m) = 8 x 10^-6 Wb
Differentiating phi with respect to time gives:
d(phi)/dt = 0
Therefore, the induced EMF in the conductor is zero.
Explanation
The motional electric field intensity is generated in a conductor when it moves in a magnetic field. In this case, the conductor is moving with a velocity of 2.5 sin(1000t) az m/s in a magnetic field of 0.04 ay Tesla. The motional electric field intensity is given by the cross product of velocity and magnetic flux density.
The induced EMF in the conductor is generated when there is a change in magnetic flux passing through the conductor. In this case, the magnetic flux passing through the conductor is constant and hence the induced EMF is zero.
Therefore, the motional electric field intensity is given by -0.1 sin(1000t) ax V/m and the induced EMF in the conductor is zero.
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A straight conductor of 0.2 mm lies on the x-axis with one end at origin. The conductor is subjected to a magnetic flux density of B = 0.04 ay Tesla and velocity v = 2.5 sin1000t az m/sec. Calculate the motional electric field intensity and induced emf in conductor .?
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A straight conductor of 0.2 mm lies on the x-axis with one end at origin. The conductor is subjected to a magnetic flux density of B = 0.04 ay Tesla and velocity v = 2.5 sin1000t az m/sec. Calculate the motional electric field intensity and induced emf in conductor .? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A straight conductor of 0.2 mm lies on the x-axis with one end at origin. The conductor is subjected to a magnetic flux density of B = 0.04 ay Tesla and velocity v = 2.5 sin1000t az m/sec. Calculate the motional electric field intensity and induced emf in conductor .? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A straight conductor of 0.2 mm lies on the x-axis with one end at origin. The conductor is subjected to a magnetic flux density of B = 0.04 ay Tesla and velocity v = 2.5 sin1000t az m/sec. Calculate the motional electric field intensity and induced emf in conductor .?.
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